# MCQs for Mathematics Class 9 with Answers Chapter 2 Polynomials

Students of Class 9 Mathematics should refer to MCQ Questions Class 9 Mathematics Polynomials with answers provided here which is an important chapter in Class 9 Mathematics NCERT textbook. These MCQ for Class 9 Mathematics with Answers have been prepared based on the latest CBSE and NCERT syllabus and examination guidelines for Class 9 Mathematics. The following MCQs can help you to practice and get better marks in the upcoming Class 9 Mathematics examination

**Chapter 2 Polynomials MCQ with Answers Class 9 Mathematics**

MCQ Questions Class 9 Mathematics Polynomials provided below have been prepared by expert teachers of grade 9. These objective questions with solutions are expected to come in the upcoming Standard 9 examinations. Learn the below provided MCQ questions to get better marks in examinations.

**Choose the correct answer from the given four options in the following questions:**

**Question. If x + 1/x = 8, then the value of x ^{2} + 1/x^{2} is**

(a) 62

(b) 64

(c) 66

(d) 60

## Answer

A

**Question. The remainder when p(x) = x ^{3} + 1 is divided by x + 1, is**

(a) – 6

(b) 0

(c) 1

(d) 6

## Answer

B

**Question. √2 is a polynomial of degree**(a) 2

**(b) 0**

(c) 1

(d) 1/2

## Answer

B

**Question. The remainder when x ^{2} + 2x + 1 is divided by x + 1, is**

(a) 4

(b) 0

(c) 1

(d) –2

## Answer

B

**Question.Degree of polynomial (x ^{3} – 2) (x^{2} + 11) is**

(a) 0

(b) 5

(c) 3

(d) 2

## Answer

B

**Question. Standard form of the polynomial 1/x ^{-3}+x/8+6x^{5}+√3/5 is**(a) x

^{3}+x/8+6x

^{5}+√3/5

(b) 6x

^{5}+ x

^{3}+ x/8 + √3/5

(c) 6x

^{5}+ √3/5+ x/8 + x

^{3}(d) x

^{3}+ 6x

^{5}+√3/5 + x/8

## Answer

B

**Question.The value of k for which the polynomial x ^{3} + 3x^{2} – 3x + k has – 3 as its zero, is**

(a) – 9

(b) – 3

(c) 9

(d) 12

## Answer

A

**Question. x ^{2} + 5x – 1/2 is a**

(a) quadratic polynomial in x

(b) binomial

(c) monomial

(d) cubic polynomial in x

## Answer

A

**Question. The value of p(1/2) for p(z) = z ^{4} – z^{2} + z is**

(a) 7/16

(b) 5/16

(c) 3/16

(d) 1/16

## Answer

B

**Question. A polynomial of degree 5 in x has at most**

(a) 5 terms

(b) 10 terms

(c) 6 terms

(d) 4 terms

## Answer

C

**Question. Zero of the polynomial p(x), where p(x) = ax + 1, a ≠ 0 is**

(a) 1

(b) – a

(c) 0

(d) −1/a

## Answer

B

**Question. Zeroes of the polynomial p(x) = x (x – 1) (x – 2) are**

(a) 0, – 1, 2

(b) 0, – 1, – 2

(c) 0, 1, – 2

(d) 0, 1, 2

## Answer

D

**Question. Which of the following is a zero of the polynomial x ^{3} + 3x^{2} – 3x – 1?**

(a) –1

(b) –2

(c) 1

(d) 2

## Answer

C

**Question. The number to be added to the polynomial x ^{2} – 5x + 4, so that 3 becomes its zero, is**

(a) 4

(b) – 4

(c) – 2

(d) 2

## Answer

D

**Question. The number to be subtracted from the polynomial x ^{2} – 16x + 30, so that 15 becomes its zero, is**

(a) 15

(b) 16

(c) 30

(d) 0

## Answer

A

**Question. Zeroes of the polynomial p(x) = (x + 2) (x + 5) are**

(a) 2, 5

(b) – 2, – 5

(c) 1/2,1/5

(d) -1/2,-1/5

## Answer

D

**Question. A polynomial whose zeroes are √2 and –√2 is**

(a) x^{2} + 2

(b) x – 2

(c) x^{2} – 2

(d) x + 2

## Answer

C

**Question. If x = 2 is a zero of the polynomial x ^{2} – 2k + 2, then the value of k is**

(a) 1

(b) 2

(c) 3

(d) 4

## Answer

C

**Question. (2x+1/3) ^{2} – ( x-1/2)^{2} in its factorised form is equal to**(a) (x-1/6) (3 x+5/6)

(b) (3x+1/6) (x-5/6)

(c) (x+1/6) (3x-5/6)

(d) (3x-1/6) (x+5/6)

## Answer

D

**Question. The remainder when x ^{51} + 51 is divided by x + 1, is**

(a) 51

(b) 50

(c) – 1

(d) 0

## Answer

B

**Question. If p(x) = 2x ^{2} – 3x + 5, then the value of p(0)+p(1)+/p(-1) is**

(a) 1/10

(b) 4/11

(c) 9/10

(d) 4/5

## Answer

C

**Question. The remainder when f(x) = x ^{3} + 4x^{2} – 3x + 1 is divided by x – 2, is**

(a) 16

(b) 12

(c) 17

(d) 19

## Answer

D

**Question. The coefficient of x2 in (2x ^{2} – 5) (4 + 3x^{2}) is**

(a) 2

(b) 3

(c) 8

(d) –7

## Answer

D

**Question. If x + 1 is a factor of the polynomial 2x ^{2} + kx, then the value of k is**

(a) – 2

(b) – 3

(c) 4

(d) 2

## Answer

D

**Question. (x + 1) is a factor of the polynomial**

(a) x^{3} + x^{2} – x + 1

(b) x^{3} + x^{2} + x + 1

(c) x^{4} + x^{3} + x^{2} + 1

(d) x^{4} + 3x^{3} + 3x^{2} + x + 1

## Answer

B

**Question. The common factor in x ^{2} – 1, x^{4} – 1 and (x – 1)^{2} is**

(a) x – 1

(b) x + 1

(c) x

^{2}– 1

(d) x

^{2}+ 1

## Answer

A

**Question. The factorisation of – x ^{2} + 5x – 6 yields**

(a) – (x – 2)(3 – x)

(b) – (2 – x) (3 – x)

(c) (x – 2)(x – 3)

(d) (2 + x) (3 – x)

## Answer

B

**Question. Degree of zero polynomial is**

(a) 0

(b) any natural number

(c) 1

(d) not defined

## Answer

D

**Question. The expansion of (x + y + z) ^{2} is**

(a) x

^{2}+ y

^{2}+ z

^{2}– 2xy – 2yz – 2zx

(b) x

^{2}+ y

^{2}+ z

^{2}+ 2xy + 2yz + 2zx

(c) x

^{2}+ y

^{2}+ z

^{2}– xy – yz – zx

(d) x

^{2}+ y

^{2}+ z

^{2}+ xy + yz + zx

## Answer

B

**Question. Which one of the following is a polynomial?**

(a) x^{2}/3-2/ x^{2}

(b) x^{3} + 4x^{3/2}/√x

(c) √3y + 5

(d) x^{2} -1/ x^{2} +1

## Answer

B

**Question. The product (x/2)-(3y+x/2)(x ^{2}/4+9y^{2}) is equal to**

(a) x

^{4}/16+81y

^{4}(b) x

^{4}/81+16y

^{4}(c) x

^{4}/81-16y

^{4}(d) x

^{4}/16-81y

^{4}

## Answer

D

**Question. 75 × 75 + 2 × 75 × 25 + 25 × 25 in simplified form is equal to**

(a) 10000

(b) 6250

(c) 7500

(d) 3750

## Answer

A

**Question. 8.83×8.83-2.17×2.17/666….. in its simplified form is equal to**

(a) 9

(b) 10

(c) 11

(d) 12

## Answer

C

**Question. If x + y + z = 0, then x ^{3} + y^{3} + z^{3} is equal to**

(a) x

^{2}+ y

^{2}+ z

^{2}+ 3xyz

(b) 3xyz

(c) 3x

^{2}y

^{2}z

^{2}

(d) x

^{2}+ y

^{2}+ z

^{2}– xy – yz – zx

## Answer

B

**Question. If 49x ^{2} – y = (7x+1/2) (7x-1/2) , then the value of y is**

(a) 0

(b) 14

(c) 1/√2

(d) 1/2

## Answer

B

**Question. If the area of a rectangle is 4x ^{2} + 4x – 3, then its possible dimensions are**

(a) 2x – 3, 2x + 1

(b) 2x – 1, 2x + 3

(c) 3x + 1, 2x – 3

(d) 3x – 1, 2x + 3

## Answer

B

**Question. The factors of 12y ^{2} – y – 6 are**

(a) (12y – 1) (y + 6)

(b) (12y + 1) (y – 6)

(c) (3y – 2) (4y + 3)

(d) (3y + 2) (4y – 3)

## Answer

B

**Question. The factors of 1/2-x ^{2}/50 are**

(a) 1/2(1- x/5)(1-x/5)

(b) 1/2(1/5+x)(1/5-x)

(c) 1/2(1+x/5)(1-x/5)

(d) 1/2(1+ x/5)(1+x/5)

## Answer

C

**Question. The factors of a ^{3} + 27 are**

(a) (a + 3) (a

^{2}+ 3a + 9)

(b) (a + 3) (a

^{2}– 3a + 9)

(c) (a – 3) (a

^{2}– 3a + 9)

(d) (a – 3) (a

^{2}+ 3a + 9)

## Answer

B

**Question.25. If x + a is a factor of x ^{4} – a^{2}x^{2} + 3x – 6a, then the value of a is**

(a) 0

(b) 1

(c) – 1

(d) 2

## Answer

A

**Question.**

(a) (√2a − √3b)

(b) (√2a + √3b)

(c) (√3a + √2b)

(c) (√3a − √2b)

## Answer

B

**Question. For the polynomial (x + 2) (x – 2), the values of p(0), p(1), p(– 2) respectively are**

(a) 0, 3, – 4

(b) – 1, 0, 3

(c) – 4, – 3, 0

(d) 1, 4, – 3

## Answer

C

**Question. If 2x – 1 is a factor of 8x ^{4} + 4x^{3} – 16x^{2} + 10x + a, then the value of a is**

(a) – 2

(b) 2

(c) 1

(d) – 1

## Answer

A

**Question. The value of a ^{2} + b^{2} + c^{2}, if a + b + c = 13 and ab + bc + ca = 27 is**

(a) 250

(b) 223

(c) 115

(d) 81

## Answer

C

**Question. The expanded form of (3a – 5b – c) ^{2} is**

(a) 9a

^{2}+ 25b

^{2}+ c

^{2}– 30ab + 10bc – 6ac

(b) 9a

^{2}+ 25b

^{2}+ c

^{2}+ 30ab – 10bc + 6ac

(c) 9a

^{2}+ 25b

^{2}+ c

^{2}– 30ab – 10bc + 6ac

(d) 9a

^{2}+ 25b

^{2}+ c

^{2}+ 30ab + 10bc – 6ac

## Answer

A

**Question. The product of (x/2+2y)(x ^{2}/4-xy+4y^{2})**

(a) x

^{3}/6 +6y

^{3}(b) x

^{3}/8 +8y

^{3}(c) x

^{3}/8 – 8y

^{3}(d) x

^{3}/6 – 6y

^{3}

## Answer

B

**Question. Factors of a ^{3} – 2√2 b^{3} are**

(a) (a-√2b)(a

^{2}+√2ab+b

^{2})

(b) (a-2√2b)(a

^{2}+√2ab+b

^{2})

(c) (a+√2b)(a

^{2}-√2ab+2b

^{2})

(d) (a+2√2b)(a

^{2}+√2ab+b

^{2})

## Answer

A

**Question. If polynomial x ^{3} – 2mx^{2} + 16 is divisible by x + 2, then the value of m is**

(a) – 2

(b) 2

(c) 1

(d) – 1

## Answer

C

**Question. The expanded form of (x+1/3) ^{3} is**

(a) x

^{3}+ 1/27+3x

^{2}+1/3x

(b) x

^{3}+ 1/27+x

^{2}++1/3x

(c) x

^{3}+ 1/9 + 3x

^{2}+ 3x

(d) x

^{3}+ 1/27+3x

^{2}+1/3x

## Answer

B

**Question. The value of 10 ^{3} – (5)^{3} – (5)^{3} is**

(a) 750

(b) 1000

(c) 250

(d) 500

## Answer

A

**Question. The value of p ^{3} – q^{3} if p – q = – 8, pq = – 12 is**

(a) – 244

(b) – 240

(c) – 224

(d) – 260

## Answer

C

**Question. The expansion of (x – y) ^{3} is**

(a) x

^{3}+ y

^{3}+ 3x

^{2}y + 3xy

^{2}

(b) x

^{3}+ y

^{3}– 3x

^{2}y + 3xy

^{2}

(c) x

^{3}– y

^{3}– 3x

^{2}y + 3xy

^{2}

(d) x

^{3}– y

^{3}+ 3x

^{2}y – 3xy

^{2}

## Answer

C

**Question. If 9x ^{2} – 30x + k is a perfect square then the value of k is**

(a) 25

(b) 5

(c) 36

(d) 81

## Answer

A

**Question. The value of (348) ^{2} – (347)^{2} is**

(a) (1)

^{2}

(b) 685

(c) 695

(d) 705

## Answer

C

**Question. If p(x) = x ^{2} – 4x + 3, then the value of p(2) – p(– 1) + p(1/2) is**

(a) 31/4

(b) – 31/4

(c) 2/14

(d) – 21/4

## Answer

B

We hope the above multiple choice questions for Class 9 Mathematics for Chapter 2 Polynomials provided above with answers based on the latest syllabus and examination guidelines issued by CBSE, NCERT and KVS are really useful for you. Polynomials is an important chapter in Class 9 as it provides very strong understanding about this topic. Students should go through the answers provided for the MCQs after they have themselves solved the questions. All MCQs have been provided with four options for the students to solve. These questions are really useful for benefit of Class 9 students. Please go through these and let us know if you have any feedback in the comments section.